LCM of 436, 648, 789, 391, 857
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 436, 648, 789, 391, 857 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 436, 648, 789, 391, 857. So, keep reading to learn more.
Given numbers are 436,648,789,391,857
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 436,648,789,391,857 is 6224648490792.
Find LCM of 436,648,789,391,857 with Prime Factorization
| 2 | 436, 648, 789, 391, 857 |
| 2 | 218, 324, 789, 391, 857 |
| 3 | 109, 162, 789, 391, 857 |
| 109, 54, 263, 391, 857 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 109 x 54 x 263 x 391 x 857 = 6224648490792
Therefore, the lowest common multiple of 436,648,789,391,857 is 6224648490792.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
436 x 648 x 789 x 391 x 857 = 74695781889504
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
436 : 1, 2, 4, 109, 218, 436
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
789 : 1, 3, 263, 789
391 : 1, 17, 23, 391
857 : 1, 857
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 436,648,789,391,857, is 1.
Now, the common factors can be found like this.
436:2x 2x 109
648:2x 2x 2x 3x 3x 3x 3
789:3x 263
391:17x 23
857:857
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3 = 12
Therefore, the value for common factors is 12.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 74695781889504/(1x12)
LCM = 74695781889504/12
LCM = 6224648490792
Thus, we can understand that the LCM of 436,648,789,391,857 is 6224648490792.
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FAQs on LCM of 436, 648, 789, 391, 857
1. What is the LCM of 436, 648, 789, 391, 857?
Answer: LCM of 436, 648, 789, 391, 857 is 6224648490792.
2. How to calculate the LCM of 436, 648, 789, 391, 857?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 436, 648, 789, 391, 857.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.